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Finding the Fourth Proportional to 12,153.34, 16,771.61 and 6,564.34

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Solution

The fourth proportional to 12,153.34, 16,771.61 and 6,564.34 is: 9,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.34 : 16,771.61 = 6,564.34 : x
  2. Step 2: Convert to fraction form
    12,153.34/16,771.61 = 6,564.34/x
  3. Step 3: Cross multiply
    12,153.34x = 16,771.61 × 6,564.34
  4. Step 4: Simplify right side
    12,153.34x = 110,094,587.76
  5. Step 5: Solve for x
    x = 110,094,587.76/12,153.34
  6. Step 6: Final answer
    x = 9,058.79

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.